# Algebraically

of, occurring in, or utilizing .

Mathematics. of or relating to an element that is the root of a polynomial equation with coefficients from some given field:

is algebraic over the field of real numbers.

using arbitrary letters or symbols in place of the letters, symbols, or numbers of an actual application.

Historical *Examples*

The problem of finding the maximum product of n positive quantities whose sum is given may also be found, algebraically, thus.

Encyclopaedia Britannica, 11th Edition, Volume 17, Slice 8 Various

A locus or curve may be algebraically specified in another way; viz.

Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6 Various

**adjective**

of or relating to algebra: an algebraic expression

using or relating to finite numbers, operations, or relationships

**adj.**

1660s, from algebra + -ic. Earlier was algebraical (1570s).

Read Also:

- Algebraically closed field
a field in which every polynomial equation with coefficients that are elements of the field has at least one root in the field, as the field of complex numbers.

- Algebraist
an expert in . Historical Examples Like the great French algebraist, Vieta, from whom he drew much of his inspiration, he was an amateur mathematician. William Oughtred Florian Cajori The problem is of course (as any algebraist sees at once) a case of “simultaneous simple equations.” A Tangled Tale Lewis Carroll

- Algeciras
a seaport in S Spain, in Andalusia, on the Strait of Gibraltar. Historical Examples It must have been a wonderful spectacle, and I do not suppose the like of it was ever seen in Algeciras before. Familiar Spanish Travels W. D. Howells In the course of his rambling operations, Algeciras and Malaga were the only […]

- Alger
Horatio, Jr. 1834–99, U.S. novelist: author of a series of books for boys. a male given name. Contemporary Examples The contention was that a sellout was taking place led by, of all people, Richard Nixon, who originally exposed Alger Hiss. The End of the Illusion: America Finally Learns Its Limits Jacob Heilbrunn April 29, 2013 […]

- Alger, horatio, jr.
alger, horatio, jr. A nineteenth-century American author known for his many books in which poor boys become rich through their earnest attitudes and hard work. Note: A true story of spectacular worldly success achieved by someone who started near the bottom is often called a “Horatio Alger story.”